972882377104 has 135 divisors (see below), whose sum is σ = 2148585647299. Its totient is φ = 426417967360.

The previous prime is 972882377099. The next prime is 972882377107. The reversal of 972882377104 is 401773288279.

The square root of 972882377104 is 986348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 228541363600 + 744341013504 = 478060^2 + 862752^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972882377107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1258579662 + ... + 1258580434.

Almost surely, 2^972882377104 is an apocalyptic number.

972882377104 is the 986348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972882377104

972882377104 is an abundant number, since it is smaller than the sum of its proper divisors (1175703270195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

972882377104 is an equidigital number, since it uses as much as digits as its factorization.

972882377104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 58.

The spelling of 972882377104 in words is "nine hundred seventy-two billion, eight hundred eighty-two million, three hundred seventy-seven thousand, one hundred four".